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Finding the Fourth Proportional to 174.55, 261.37 and 102.10

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Solution

The fourth proportional to 174.55, 261.37 and 102.10 is: 152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.55 : 261.37 = 102.10 : x
  2. Step 2: Convert to fraction form
    174.55/261.37 = 102.10/x
  3. Step 3: Cross multiply
    174.55x = 261.37 × 102.10
  4. Step 4: Simplify right side
    174.55x = 26,685.88
  5. Step 5: Solve for x
    x = 26,685.88/174.55
  6. Step 6: Final answer
    x = 152.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.